Multi-step equations
Algebra word problems
100

7x + 4 = 10 + x 

X = 1

100

Find the equation - Mary can paint a house in 12 hours. If Nancy helps, it takes them 2 hours. Without help, how long would it take Nancy to complete the same job?

1/12 + 1/x = 1/2 

200

2 (x + 5) = -20

X = -15

200

Find the equation - Sara takes six hours to spread mulch. It takes Joan ten hours to finish this job. How long would it take if they worked together?

1/6 +1/10 = 1/x 

300

9x - 5  = 2x + 37

X = 6

300

Solve - For Keith, it takes 8 hours to paint a house. However, Dan takes 5 hours to finish the same job. If working together, how long would they take?

3.08 hours 

400

3 (1 -2x) = -9

X = 2

400

Solve - For Tim, it takes nine hours to paint a room. However, Dan takes eight hours to complete the same job. If working together, how long would they take?

4.24 hours 

500

2 = -2 (3x + 4) + X

X = -2

500

Solve - Sara can cut the schrubs in 12 hours. If Tom helps, it takes them 10 hours. Without help, how long would it take Tom to do the same thing?

X = 60